37900011000973 has 12 divisors (see below), whose sum is σ = 42071152066524. Its totient is φ = 34113421232000.

The previous prime is 37900011000959. The next prime is 37900011000983.

It is a happy number.

37900011000973 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21304474168329 + 16595536832644 = 4615677^2 + 4073762^2 .

It is not a de Polignac number, because 37900011000973 - 2²¹ = 37900008903821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37900011000983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1550597836 + ... + 1550622277.

It is an arithmetic number, because the mean of its divisors is an integer number (3505929338877).

Almost surely, 2^{37900011000973} is an apocalyptic number.

It is an amenable number.

37900011000973 is a deficient number, since it is larger than the sum of its proper divisors (4171141065551).

37900011000973 is a wasteful number, since it uses less digits than its factorization.

37900011000973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101220236 (or 3101220225 counting only the distinct ones).

The product of its (nonzero) digits is 35721, while the sum is 40.

It can be divided in two parts, 3790001 and 1000973, that added together give a palindrome (4790974).

The spelling of 37900011000973 in words is "thirty-seven trillion, nine hundred billion, eleven million, nine hundred seventy-three", and thus it is an aban number.